Mathematical Problems in Engineering
Volume 2008 (2008), Article ID 369321, 11 pages
Cross-Correlation Properties of Costas Arrays and Their Images under Horizontal and Vertical Flips
1School of Electrical, Electronic & Mechanical Engineering, University College Dublin, Belfield, Dublin 4, Ireland
2Claude Shannon Institute, UCD CASL, University College Dublin, Belfield, Dublin 4, Ireland
3School of Mathematics, University College Dublin, Belfield, Dublin 4, Ireland
Received 18 September 2008; Accepted 29 November 2008
Academic Editor: Fernando Lobo Pereira
Copyright © 2008 Konstantinos Drakakis et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We consider the cross-correlation of a Costas array with
its image under a horizontal and/or a vertical flip. We propose and prove several bounds on the maximal
cross-correlation and on its value at the origin, for both general
Costas arrays and for algebraically constructed ones.